Uniform–fast–gerade Funktionen mit vorgegebenen Werten

Abstract.

For a given sequence $n_1\lt n_2\lt \dots$ of integers satisfying $p_{\rm{min}}(n_j)\to\infty$, and for a given convergent sequence of complex numbers a _j , it was shown in [5], using Gelfand's theory of commutative Banach algebras and Tietze's extension theorem, that there is a uniformly-almost-even function $f\in {\cal B}^u$ assuming the values f(n _j ) = a _j .¶The aim of this note is to give another proof of this result using arguments from elementary number theory.